Resummation of quantum radiation reaction and induced polarization

TL;DR

This paper introduces a resummation-based method to analyze quantum radiation reaction effects on electron polarization in intense laser fields, providing new insights beyond traditional approaches.

Contribution

It develops a novel resummation technique to study radiation reaction and polarization effects in quantum electrodynamics, especially where standard methods fail.

Findings

Radiation reaction significantly affects induced electron polarization.

The resummation method enables analysis of scenarios unsuitable for locally-constant-field approximations.

The study offers new perspectives on the Abraham-Lorentz-Dirac equation using Borel-Padé resummations.

Abstract

In a previous paper we proposed a new method based on resummations for studying radiation reaction of an electron in a plane-wave electromagnetic field. In this paper we use this method to study the electron momentum expectation value for a circularly polarized monochromatic field with $a_0=1$, for which standard locally-constant-field methods cannot be used. We also find that radiation reaction has a significant effect on the induced polarization, as compared to the results without radiation reaction, i.e. the Sokolov-Ternov formula for a constant field, or the zero result for a circularly monochromatic field. We also study the Abraham-Lorentz-Dirac equation using Borel-Pad\'e resummations.